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22202101013 is a prime number
BaseRepresentation
bin10100101011010110…
…010010110100010101
32010022022011120221112
4110223112102310111
5330432214213023
614111032024405
71414121513321
oct245326226425
963268146845
1022202101013
119463564114
124377532105
13212a9936a1
14110894c981
1589e250478
hex52b592d15

22202101013 has 2 divisors, whose sum is σ = 22202101014. Its totient is φ = 22202101012.

The previous prime is 22202101003. The next prime is 22202101021. The reversal of 22202101013 is 31010120222.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21094076644 + 1108024369 = 145238^2 + 33287^2 .

It is a cyclic number.

It is not a de Polignac number, because 22202101013 - 210 = 22202099989 is a prime.

It is a super-3 number, since 3×222021010133 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22202101003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11101050506 + 11101050507.

It is an arithmetic number, because the mean of its divisors is an integer number (11101050507).

Almost surely, 222202101013 is an apocalyptic number.

It is an amenable number.

22202101013 is a deficient number, since it is larger than the sum of its proper divisors (1).

22202101013 is an equidigital number, since it uses as much as digits as its factorization.

22202101013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 22202101013 its reverse (31010120222), we get a palindrome (53212221235).

The spelling of 22202101013 in words is "twenty-two billion, two hundred two million, one hundred one thousand, thirteen".